1.

Simplify (3x-5/x)(9x^2+15+25/x^2)

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SOLUTION

TO SIMPLIFY

\displaystyle \sf{ \bigg( 3x -  \frac{5}{x} \bigg) \bigg(9 {x}^{2}  + 15 +  \frac{25}{ {x}^{2} }  \bigg)}

FORMULA TO BE IMPLEMENTED

We are AWARE of the formula that

a³ - b³ = (a - B)(a² + AB + b² )

EVALUATION

\displaystyle \sf{ \bigg( 3x -  \frac{5}{x} \bigg) \bigg(9 {x}^{2}  + 15 +  \frac{25}{ {x}^{2} }  \bigg)}

\displaystyle \sf{  =  {(3x)}^{3}   -  { \bigg(\frac{5}{x} \bigg)}^{3} }

\displaystyle \sf{  =  27 {x}^{3} -  \frac{125}{ {x}^{3} }  }

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